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Finding the Third Proportional to 105,330 and 159,336

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Solution

The third proportional to 105,330 and 159,336 is: 241,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,330 : 159,336 = 159,336 : x
  2. Step 2: Convert to fraction form
    105,330/159,336 = 159,336/x
  3. Step 3: Cross multiply
    105,330x = 159,336 × 159,336
  4. Step 4: Simplify right side
    105,330x = 25,387,960,896
  5. Step 5: Solve for x
    x = 25,387,960,896/105,330
  6. Step 6: Final answer
    x = 241,032.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.